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Finding the Third Proportional to 47,970 and 97,846

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Solution

The third proportional to 47,970 and 97,846 is: 199,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,970 : 97,846 = 97,846 : x
  2. Step 2: Convert to fraction form
    47,970/97,846 = 97,846/x
  3. Step 3: Cross multiply
    47,970x = 97,846 × 97,846
  4. Step 4: Simplify right side
    47,970x = 9,573,839,716
  5. Step 5: Solve for x
    x = 9,573,839,716/47,970
  6. Step 6: Final answer
    x = 199,579.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.